Well, for starters, their entire lives are first couple of weeks (during the summer). Also, they go out to forage only in the second half of their lives, so...
... your question is really unique - I haven't really though about that a lot

Bees can hold back for quit a while, but do undertake cleansing flights. This is especially important after winter, and can cause problems if weather does not allow these flights. Pooing in the hive can spread diseases like nosema.

I've got a related question. Do bee larvae poo? I know that the larvae of many insects poo a lot, especially caterpillars. I know that people on IV nutrition don't need to poo because their "food" is so concentrated. But caterpillars eat lots of fibre and tannins in their diet and that's gotta go somewhere, whereas bee larvae eat concentrated sugar and protein.

I am assuming that they have some chamber maids as well as nurse bees etc. Certainly the queen doesn't leave the hive to poo, so some poor bee must have the job of emptying the royal chamber pot. I imagine bee poo will be carried out and deposited just like dead bees, but I don't know for sure. Brood cells are licked clean before they are laid back into. It's an unpleasant thought but nature is full of things that make us cringe.

You are right though, it's just the sort of question that kids will ask.

I think johno's explanation about it being a highly nutritious food and therefore there is very little waste is a good one. We know that adult bees can hold for at least 2 weeks, so maybe young house bees are able to hold until they have graduated to other duties.

Sorry, bit too late to this.
However, from what I've read/been told, it depends on the age/stage/type of bee as to where it poos.
The foragers and any older bees that can fly will poo outside, away from the hive. They can hold it in for a long time, especially when over wintering, with the poo taking up most of the abdomen.
The young bees that have yet to fly will poo in the hive, but away from the comb, as will the Queen and drones.
The larvae don't poo until they have exhausted their food supply and are ready to pupate so as not to contaminate their food supply. A tidy bit of evolution that, with the hind gut not joining to the outside until this time.
They then smear the poo over the inside of the cell before spinning the cocoon in which they will metamorphose into the adult stage.

Fascinating post, thanks for that. I can see how some folks might find the above off-putting when it comes to eating honey from comb that was once used for brood rearing. For myself, I simply remember that alcohol is yeast p1ss, honey is bee vomit and eggs come out of a hen's arse and I rather like all of those things. So, I reckon a bit of bee sh1t aint gonna hurt.....

Conserving wild bees

Research suggests that bumble bee boxes have a very low success rate in actually attracting bees into them. We find that if you create an environment where first of all you can attract mice inside, such as a pile of stones, a drystone wall, paving slabs with intentionally made cavities underneath, this will increase the success rate.

Most bumble bee species need a dry space about the size a football, with a narrow entrance tunnel approximately 2cm in diameter and 20 cm long. Most species nest underground along the base of a linear feature such as a hedge or wall. Sites need to be sheltered and out of direct sunlight.